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Finding the Fourth Proportional to 587.28, 808.59 and 498.57

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Solution

The fourth proportional to 587.28, 808.59 and 498.57 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.28 : 808.59 = 498.57 : x
  2. Step 2: Convert to fraction form
    587.28/808.59 = 498.57/x
  3. Step 3: Cross multiply
    587.28x = 808.59 × 498.57
  4. Step 4: Simplify right side
    587.28x = 403,138.72
  5. Step 5: Solve for x
    x = 403,138.72/587.28
  6. Step 6: Final answer
    x = 686.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.